Question

Suppose that the distance a car travels varies directly with the amount of gasoline it uses. A certain car uses 24 gallons of gasoline to travel 552 miles.

Write a direct variation equation to represent the relationship. Use d for the distance the car travels (in miles) and g for amount of gasoline it uses (in gallons)

Answer 1

7dhhdhdhdhdhffhdhdhhfhfhf

Answer 2

`\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill`

`\stackrel{\textit{D varies directly with G}}{D = k(G)}\hspace{5em}\textit{we also know that} \begin{cases} G=24\\ D=552 \end{cases} \\\\\\ 552=k(24)\implies \cfrac{552}{24}=k\implies 23=k\hspace{5em}\boxed{D=23G}`